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angelkiss2019
23.11.2019 •
Mathematics
Latisha has two pieces of ribbon she plans
to cut. one piece of ribbon is 48 inches and
the other is 80 inches. she plans to cut
all the ribbon into pieces of equal lengths.
what is the greatest possible length of each
piece?
Solved
Show answers
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Ответ:
The greatest possible length of each piece is 16 inches
Solution:Latisha has two pieces of ribbon. One piece of ribbon is 48 inches and the other is 80 inches
Ribbon is to be cut into pieces of equal length
To find the greatest possible length of each piece, we have to find greatest common divisor of 48 and 80
The greatest common factor, or GCF, is the greatest factor that divides two numbers
Steps to find G.C.F of 48 and 80
1) Find the prime factorization of 48
2) Find the prime factorization of 80
3) To find the GCF, multiply all the prime factors common to both numbers:
Therefore,![GCF = 2 \times 2 \times 2 \times 2 = 16](/tpl/images/0387/5006/6ce56.png)
So, 16 inches is the greatest possible length to cut so that every piece is of equal length.
Ответ: